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Finding the Fourth Proportional to 1,105.38, 1,657.80 and 374.76

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Solution

The fourth proportional to 1,105.38, 1,657.80 and 374.76 is: 562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.38 : 1,657.80 = 374.76 : x
  2. Step 2: Convert to fraction form
    1,105.38/1,657.80 = 374.76/x
  3. Step 3: Cross multiply
    1,105.38x = 1,657.80 × 374.76
  4. Step 4: Simplify right side
    1,105.38x = 621,277.13
  5. Step 5: Solve for x
    x = 621,277.13/1,105.38
  6. Step 6: Final answer
    x = 562.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.